aoi_lst_exp.h File Reference

Laplace-Stieltjes transform of an exponential distribution. More...

#include "line/api/aoi/aoi_types.h"
#include "line/num/number.h"

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Namespaces
namespace	line
namespace	line::aoi

Functions
template<class T>
Lst< T >	line::aoi::aoi_lst_exp (const T &mu)
	Laplace-Stieltjes transform of an exponential distribution.

Detailed Description

Laplace-Stieltjes transform of an exponential distribution.

Templated port of matlab/src/api/aoi/aoi_lst_exp.m, cross-checked against Aoi_lst.exp in jar/src/main/java/jline/api/aoi/Aoi_lst.java (identical).

H*(s) = mu / (mu + s)

A rational function of s, so it is exact in the field: an exact-arithmetic caller gets the true transform value at any rational s, which is what makes the AoI closed forms checkable term by term.

Definition in file aoi_lst_exp.h.